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Analytical Solution Methods for Boundary Value Problems

Analytical Solution Methods for Boundary Value Problems
  • Author : A.S. Yakimov
  • Publisher : Academic Press
  • Release : 13 August 2016
GET THIS BOOKAnalytical Solution Methods for Boundary Value Problems

Analytical Solution Methods for Boundary Value Problems is an extensively revised, new English language edition of the original 2011 Russian language work, which provides deep analysis methods and exact solutions for mathematical physicists seeking to model germane linear and nonlinear boundary problems. Current analytical solutions of equations within mathematical physics fail completely to meet boundary conditions of the second and third kind, and are wholly obtained by the defunct theory of series. These solutions are also obtained for linear partial differential

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Numerical-Analytic Methods in the Theory of Boundary-Value Problems

Numerical-Analytic Methods in the Theory of Boundary-Value Problems
  • Author : M Ronto,A M Samoilenko
  • Publisher : World Scientific
  • Release : 30 June 2000
GET THIS BOOKNumerical-Analytic Methods in the Theory of Boundary-Value Problems

This book contains the main results of the authors' investigations on the development and application of numerical-analytic methods for ordinary nonlinear boundary value problems (BVPs). The methods under consideration provide an opportunity to solve the two important problems of the BVP theory — namely, to establish existence theorems and to build approximation solutions. They can be used to investigate a wide variety of BVPs. The Appendix, written in collaboration with S I Trofimchuk, discusses the connection of the new method with

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Boundary Value Problems for Engineers

Boundary Value Problems for Engineers
  • Author : Ali Ümit Keskin
  • Publisher : Springer
  • Release : 19 June 2019
GET THIS BOOKBoundary Value Problems for Engineers

This book is designed to supplement standard texts and teaching material in the areas of differential equations in engineering such as in Electrical ,Mechanical and Biomedical engineering. Emphasis is placed on the Boundary Value Problems that are often met in these fields.This keeps the the spectrum of the book rather focussed .The book has basically emerged from the need in the authors lectures on “Advanced Numerical Methods in Biomedical Engineering” at Yeditepe University and it is aimed to assist

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Analytical Solutions for Two Ferromagnetic Nanoparticles Immersed in a Magnetic Field

Analytical Solutions for Two Ferromagnetic Nanoparticles Immersed in a Magnetic Field
  • Author : Gehan Anthonys
  • Publisher : Morgan & Claypool Publishers
  • Release : 01 February 2018
GET THIS BOOKAnalytical Solutions for Two Ferromagnetic Nanoparticles Immersed in a Magnetic Field

The investigation of the behavior of ferromagnetic particles in an external magnetic field is important for use in a wide range of applications in magnetostatics problems, from biomedicine to engineering. To the best of the author's knowledge, the systematic analysis for this kind of investigation is not available in the current literature. Therefore, this book contributes a complete solution for investigating the behavior of two ferromagnetic spherical particles, immersed in a uniform magnetic field, by obtaining exact mathematical models on

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Extrema of Nonlocal Functionals and Boundary Value Problems for Functional Differential Equations

Extrema of Nonlocal Functionals and Boundary Value Problems for Functional Differential Equations
  • Author : Georgiĭ Aleksandrovich Kamenskiĭ
  • Publisher : Nova Publishers
  • Release : 05 December 2021
GET THIS BOOKExtrema of Nonlocal Functionals and Boundary Value Problems for Functional Differential Equations

The non-local functional is an integral with the integrand depending on the unknown function at different values of the argument. These types of functionals have different applications in physics, engineering and sciences. The Euler type equations that arise as necessary conditions of extrema of non-local functionals are the functional differential equations. The book is dedicated to systematic study of variational calculus for non-local functionals and to theory of boundary value problems for functional differential equations. There are described different necessary

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Numerical-analytic Methods in the Theory of Boundary-value Problems

Numerical-analytic Methods in the Theory of Boundary-value Problems
  • Author : Nikola? Iosifovich Ronto,Anatoli? Mikha?lovich Samo?lenko
  • Publisher : World Scientific
  • Release : 05 December 2021
GET THIS BOOKNumerical-analytic Methods in the Theory of Boundary-value Problems

This book contains the main results of the authors' investigations on the development and application of numerical-analytic methods for ordinary nonlinear boundary value problems (BVPs). The methods under consideration provide an opportunity to solve the two important problems of the BVP theory ? namely, to establish existence theorems and to build approximation solutions. They can be used to investigate a wide variety of BVPs.The Appendix, written in collaboration with S I Trofimchuk, discusses the connection of the new method with

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Boundary Value Problems for Analytic Functions

Boundary Value Problems for Analytic Functions
  • Author : Jian-Ke Lu
  • Publisher : World Scientific
  • Release : 05 December 1993
GET THIS BOOKBoundary Value Problems for Analytic Functions

This book deals with boundary value problems for analytic functions with applications to singular integral equations. New and simpler proofs of certain classical results such as the Plemelj formula, the Privalov theorem and the Poincar‚-Bertrand formula are given. Nearly one third of this book contains the author's original works, most of which have not been published in English before and, hence, were previously unknown to most readers in the world.It consists of 7 chapters together with an appendix: Chapter

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Solving Ordinary and Partial Boundary Value Problems in Science and Engineering

Solving Ordinary and Partial Boundary Value Problems in Science and Engineering
  • Author : Karel Rektorys
  • Publisher : CRC Press
  • Release : 20 October 1998
GET THIS BOOKSolving Ordinary and Partial Boundary Value Problems in Science and Engineering

This book provides an elementary, accessible introduction for engineers and scientists to the concepts of ordinary and partial boundary value problems, acquainting readers with fundamental properties and with efficient methods of constructing solutions or satisfactory approximations. Discussions include: ordinary differential equations classical theory of partial differential equations Laplace and Poisson equations heat equation variational methods of solution of corresponding boundary value problems methods of solution for evolution partial differential equations The author presents special remarks for the mathematical reader, demonstrating

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Analogues for the Solution of Boundary-Value Problems

Analogues for the Solution of Boundary-Value Problems
  • Author : B. A. Volynskii,V. Ye. Bukhman
  • Publisher : Elsevier
  • Release : 17 May 2014
GET THIS BOOKAnalogues for the Solution of Boundary-Value Problems

Analogues for the Solution of Boundary-Value Problems considers the simulation of integral methods of solving boundary-value problems. This book is organized into 11 chapters. After the introduction provided in Chapter I, the formulation of some important engineering problems that reduce to the solution of partial differential equations is reviewed in Chapter II. Chapter III covers the mathematical methods for the solution of problems, such as the thermal problem of electrode graphitization and underground coal gasification. The theory of the physical processes

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Boundary Value Problems of Heat Conduction

Boundary Value Problems of Heat Conduction
  • Author : M. Necati Ozisik
  • Publisher : Courier Corporation
  • Release : 26 November 2013
GET THIS BOOKBoundary Value Problems of Heat Conduction

Intended for first-year graduate courses in heat transfer, this volume includes topics relevant to chemical and nuclear engineering and aerospace engineering. The systematic and comprehensive treatment employs modern mathematical methods of solving problems in heat conduction and diffusion. Starting with precise coverage of heat flux as a vector, derivation of the conduction equations, integral-transform technique, and coordinate transformations, the text advances to problem characteristics peculiar to Cartesian, cylindrical, and spherical coordinates; application of Duhamel's method; solution of heat-conduction problems; and

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A First Course in Integral Equations

A First Course in Integral Equations
  • Author : Abdul-Majid Wazwaz
  • Publisher : World Scientific Publishing Company
  • Release : 04 May 2015
GET THIS BOOKA First Course in Integral Equations

This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations. It provides a comprehensive treatment of linear and nonlinear Fredholm and Volterra integral equations of the first and second kinds. The materials are presented in an accessible and straightforward manner to readers, particularly those from non-mathematics backgrounds. Numerous well-explained applications and examples as well as practical exercises are presented to guide readers through the text. Selected applications from

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Modeling and Analysis of Chemical Engineering Processes

Modeling and Analysis of Chemical Engineering Processes
  • Author : K. Balu,K. Padmanabhan
  • Publisher : I. K. International Pvt Ltd
  • Release : 01 January 2007
GET THIS BOOKModeling and Analysis of Chemical Engineering Processes

The chemical process industry faces serious problems with regard to new materials and efficient methods of production due to increasing costs of energy, stringent environmental regulations and global competition. A clear understanding of the processes is required in order to solve these problems. One way is through crisp modeling method; another is through an optimal operation of the process to improve profitability and efficiency. The book is in two parts. The first part discusses the methods of modeling chemical engineering

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Boundary Value Problems

Boundary Value Problems
  • Author : F. D. Gakhov
  • Publisher : Elsevier
  • Release : 10 July 2014
GET THIS BOOKBoundary Value Problems

Boundary Value Problems is a translation from the Russian of lectures given at Kazan and Rostov Universities, dealing with the theory of boundary value problems for analytic functions. The emphasis of the book is on the solution of singular integral equations with Cauchy and Hilbert kernels. Although the book treats the theory of boundary value problems, emphasis is on linear problems with one unknown function. The definition of the Cauchy type integral, examples, limiting values, behavior, and its principal value

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Iterative Methods for the Numerical Solutions of Boundary Value Problems

Iterative Methods for the Numerical Solutions of Boundary Value Problems
  • Author : Mariam B. H. Abushammala
  • Publisher : Anonim
  • Release : 05 December 2021
GET THIS BOOKIterative Methods for the Numerical Solutions of Boundary Value Problems

"The aim of this thesis is twofold. First of all, in Chapters 1 and 2, we review the well-known Adomian Decomposition Method (ADM) and Variational Iteration Method (VIM) for obtaining exact and numerical solutions for ordinary differential equations, partial differential equations, integral equations, integro-differential equations, delay differential equations, and algebraic equations in addition to calculus of variations problems. These schemes yield highly accurate solutions. However, local convergence is a main setback of such approaches. It means that the accuracy deteriorates as the

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